Compare 1/5 and 24/96
1/5 is smaller than 24/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 96 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 5 × 96 = 480,
1/5 = 1 × 96/5 × 96 = 96/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
24/96 = 24 × 5/96 × 5 = 120/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/480 < 120/480 or 1/5 < 24/96
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